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Finding the Fourth Proportional to 2,527.97, 3,785.62 and 1,600.73

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Solution

The fourth proportional to 2,527.97, 3,785.62 and 1,600.73 is: 2,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.97 : 3,785.62 = 1,600.73 : x
  2. Step 2: Convert to fraction form
    2,527.97/3,785.62 = 1,600.73/x
  3. Step 3: Cross multiply
    2,527.97x = 3,785.62 × 1,600.73
  4. Step 4: Simplify right side
    2,527.97x = 6,059,755.50
  5. Step 5: Solve for x
    x = 6,059,755.50/2,527.97
  6. Step 6: Final answer
    x = 2,397.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.